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11022120120 = 23351114335827
BaseRepresentation
bin10100100001111100…
…00011010010111000
31001110011001201100010
422100332003102320
5140033130320440
65021414141520
7540065321664
oct122076032270
931404051303
1011022120120
114746776a90
1221773518a0
1310686a0a8b
14767bcb8a4
154479ad580
hex290f834b8

11022120120 has 128 divisors (see below), whose sum is σ = 36103760640. Its totient is φ = 2669706240.

The previous prime is 11022120113. The next prime is 11022120163. The reversal of 11022120120 is 2102122011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11022120096 and 11022120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1888647 + ... + 1894473.

It is an arithmetic number, because the mean of its divisors is an integer number (282060630).

Almost surely, 211022120120 is an apocalyptic number.

11022120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051880320).

11022120120 is an abundant number, since it is smaller than the sum of its proper divisors (25081640520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11022120120 is a wasteful number, since it uses less digits than its factorization.

11022120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022120120 its reverse (2102122011), we get a palindrome (13124242131).

The spelling of 11022120120 in words is "eleven billion, twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1433 2866 4299 5732 5827 7165 8598 11464 11654 14330 15763 17196 17481 21495 23308 28660 29135 31526 34392 34962 42990 46616 47289 57320 58270 63052 64097 69924 78815 85980 87405 94578 116540 126104 128194 139848 157630 171960 174810 189156 192291 233080 236445 256388 315260 320485 349620 378312 384582 472890 512776 630520 640970 699240 769164 945780 961455 1281940 1538328 1891560 1922910 2563880 3845820 7691640 8350091 16700182 25050273 33400364 41750455 50100546 66800728 83500910 91851001 100201092 125251365 167001820 183702002 200402184 250502730 275553003 334003640 367404004 459255005 501005460 551106006 734808008 918510010 1002010920 1102212012 1377765015 1837020020 2204424024 2755530030 3674040040 5511060060 11022120120